Stancu type q -Bernstein operators with shifted knots

Journal of inequalities and applications

article

M. Mursaleen¹  Mohd Qasim⁴  Asif Khan³  Zaheer Abbas⁴ 

[1]Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan)

[2]Department of Computer Science and Information Engineering, Asia University

[3]Department of Mathematics, Aligarh Muslim University

[4]Department of Mathematical Sciences, Baba Ghulam Shah Badshah University

关键词: Lupaş q -Bernstein–Stancu shifted operators;    Rate of convergence;    Modulus of continuity;    Voronovskaja type theorem;    K -functional;    Local approximation;   

DOI  :  10.1186/s13660-020-2303-4

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investigated. A Voronovskaja type theorem and local approximation results for the mentioned operators are studied. The extra parameters γ, δ, q, a and b provide more flexibility for approximation.

【 授权许可】

CC BY